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- Law_of_large_numbers abstract "In probability theory, the law of large numbers (LLN) is a theorem that describes the result of performing the same experiment a large number of times. According to the law, the average of the results obtained from a large number of trials should be close to the expected value, and will tend to become closer as more trials are performed.The LLN is important because it "guarantees" stable long-term results for the averages of some random events. For example, while a casino may lose money in a single spin of the roulette wheel, its earnings will tend towards a predictable percentage over a large number of spins. Any winning streak by a player will eventually be overcome by the parameters of the game. It is important to remember that the LLN only applies (as the name indicates) when a large number of observations are considered. There is no principle that a small number of observations will coincide with the expected value or that a streak of one value will immediately be "balanced" by the others (see the gambler's fallacy)".
- Law_of_large_numbers thumbnail Largenumbers.svg?width=300.
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- Law_of_large_numbers wikiPageWikiLink Absolute_difference.
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- Law_of_large_numbers wikiPageWikiLink Category:Mathematical_proofs.
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- Law_of_large_numbers wikiPageWikiLink Central_limit_theorem.
- Law_of_large_numbers wikiPageWikiLink Characteristic_function_(probability_theory).
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- Law_of_large_numbers wikiPageWikiLink Dice.
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- Law_of_large_numbers wikiPageWikiLink Function_(mathematics).
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- Law_of_large_numbers wikiPageWikiLink Infinite_monkey_theorem.
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- Law_of_large_numbers wikiPageWikiLink Lxc3xa9vys_continuity_theorem.
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- Law_of_large_numbers wikiPageWikiLink Probability.
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- Law_of_large_numbers wikiPageWikiLink Roulette.
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- Law_of_large_numbers wikiPageWikiLink Taylors_theorem.
- Law_of_large_numbers wikiPageWikiLink Theorem.
- Law_of_large_numbers wikiPageWikiLink Variance.
- Law_of_large_numbers wikiPageWikiLink Émile_Borel.
- Law_of_large_numbers wikiPageWikiLink File:DiffusionMicroMacro.gif.
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- Law_of_large_numbers wikiPageWikiLinkText ""law of averages"".
- Law_of_large_numbers wikiPageWikiLinkText "LLN".
- Law_of_large_numbers wikiPageWikiLinkText "Law of large numbers".
- Law_of_large_numbers wikiPageWikiLinkText "Law of large numbers#A weaker law and proof".
- Law_of_large_numbers wikiPageWikiLinkText "Law of large numbers#A_weaker_law_and_proof".
- Law_of_large_numbers wikiPageWikiLinkText "Law of large numbers#Borel.27s_law_of_large_numbers".
- Law_of_large_numbers wikiPageWikiLinkText "Law of large numbers#Proof".
- Law_of_large_numbers wikiPageWikiLinkText "Law of large numbers#Strong law".
- Law_of_large_numbers wikiPageWikiLinkText "Law of large numbers#Uniform law of large numbers".
- Law_of_large_numbers wikiPageWikiLinkText "Law of large numbers#Weak law".
- Law_of_large_numbers wikiPageWikiLinkText "Law_of_large_numbers".
- Law_of_large_numbers wikiPageWikiLinkText "Law_of_large_numbers#Borel.27s_law_of_large_numbers".
- Law_of_large_numbers wikiPageWikiLinkText "Law_of_large_numbers#The_strong_law".
- Law_of_large_numbers wikiPageWikiLinkText "Laws of large numbers".